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Edge Theorem for Multivariable Systems
Long Wang
This paper studies robustness of multivariable systems with parametric uncertainties, and establishes a multivariable version of Edge Theorem. An illustrative example is presented.
H-infinity Performance of Interval Systems
Long Wang
In this paper, we study performance of interval systems. We prove that, for an interval system, the maximal norm of its sensitivity function is achieved a…
Robust Strictly Positive Real Synthesis for Polynomial Families of Arbitrary Order
Long Wang
For any two - order polynomials and the Hurwitz stability of their convex combination is necessary and sufficient for the existence of a polynomial suc…
Improved Results on Robust Stability of Multivariable Interval Control Systems
Long Wang
For interval polynomial matrices, we identify the minimal testing set, whose stability can guarantee that of the whole uncertain set. Our results improve the conclusions given by K…
Robust SPR Synthesis for Low-Order Polynomial Segments and Interval Polynomials
Long Wang, Wensheng Yu
We prove that, for low-order (n < 5) stable polynomial segments or interval polynomials, there always exists a fixed polynomial such that their ratio is SPR-invariant, thereby prov…
Robust Performance of A Class of Control Systems
Long Wang
Some Kharitonov-like robust Hurwitz stability criteria are established for a class of complex polynomial families with nonlinearly correlated perturbations. These results are exten…